Identifier
Values
[1,0] => 10 => 01 => [1,1] => 1
[1,0,1,0] => 1010 => 0101 => [1,1,1,1] => 1
[1,1,0,0] => 1100 => 0110 => [1,2,1] => 2
[1,0,1,0,1,0] => 101010 => 010101 => [1,1,1,1,1,1] => 1
[1,0,1,1,0,0] => 101100 => 010110 => [1,1,1,2,1] => 2
[1,1,0,0,1,0] => 110010 => 011001 => [1,2,2,1] => 2
[1,1,0,1,0,0] => 110100 => 011010 => [1,2,1,1,1] => 2
[1,1,1,0,0,0] => 111000 => 011100 => [1,3,2] => 3
[1,0,1,0,1,0,1,0] => 10101010 => 01010101 => [1,1,1,1,1,1,1,1] => 1
[1,0,1,0,1,1,0,0] => 10101100 => 01010110 => [1,1,1,1,1,2,1] => 2
[1,0,1,1,0,0,1,0] => 10110010 => 01011001 => [1,1,1,2,2,1] => 2
[1,0,1,1,0,1,0,0] => 10110100 => 01011010 => [1,1,1,2,1,1,1] => 2
[1,0,1,1,1,0,0,0] => 10111000 => 01011100 => [1,1,1,3,2] => 3
[1,1,0,0,1,0,1,0] => 11001010 => 01100101 => [1,2,2,1,1,1] => 2
[1,1,0,0,1,1,0,0] => 11001100 => 01100110 => [1,2,2,2,1] => 2
[1,1,0,1,0,0,1,0] => 11010010 => 01101001 => [1,2,1,1,2,1] => 2
[1,1,0,1,0,1,0,0] => 11010100 => 01101010 => [1,2,1,1,1,1,1] => 2
[1,1,0,1,1,0,0,0] => 11011000 => 01101100 => [1,2,1,2,2] => 2
[1,1,1,0,0,0,1,0] => 11100010 => 01110001 => [1,3,3,1] => 3
[1,1,1,0,0,1,0,0] => 11100100 => 01110010 => [1,3,2,1,1] => 3
[1,1,1,0,1,0,0,0] => 11101000 => 01110100 => [1,3,1,1,2] => 3
[1,1,1,1,0,0,0,0] => 11110000 => 01111000 => [1,4,3] => 4
[1,0,1,0,1,0,1,0,1,0] => 1010101010 => 0101010101 => [1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,0,1,0,0,0,1,0] => 1110100010 => 0111010001 => [1,3,1,1,3,1] => 3
[1,1,1,1,0,0,0,0,1,0] => 1111000010 => 0111100001 => [1,4,4,1] => 4
[1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010 => 010101010101 => [1,1,1,1,1,1,1,1,1,1,1,1] => 1
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Description
The largest part of an integer composition.
Map
to binary word
Description
Return the Dyck word as binary word.
Map
rotate back-to-front
Description
The rotation of a binary word, last letter first.
This is the word obtained by moving the last letter to the beginnig.
Map
delta morphism
Description
Applies the delta morphism to a binary word.
The delta morphism of a finite word $w$ is the integer compositions composed of the lengths of consecutive runs of the same letter in $w$.